Use the formula a^2 - b^2 = (a -b)(a + b). So:
t^2 - (t - 1)^2
= [t - (t -1)][t + (t -1)] Now you can work and simplify the given expression.
=(t - t +1)(t + t -1)
=(1)(2t -1)
= 2t -1
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Probability of T, T, T, T, T, T or 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 or 1/64 or 0.015625.
1 answer
The formula is as follows:
Because, in general, a zero-coupon bond price is...
Z(t,T) = 1/[1+r(t,T)]T
SO the spot rate would then equal...
r(t,T) = [1/Z(t,T)1/T]-1
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The recursive relationship for the function t(n) is t(n) t(n - 1) 1/n.
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Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs
2 answers
t(1) = 1
t(2) = 1
t(n+1) = t(n) + t(n-1) for n = 1, 2, 3, ...
That is, the first two terms are 1; after that every term is the sum of the previous two terms.
1 answer
2000 lb = 1 t(US)
2000 lb = 1 t(US)
2000 lb = 1 t(US)
2000 lb = 1 t(US)
2000 lb = 1 t(US)
2000 lb = 1 t(US)
2 answers
You factor it.
81t3 - 81t = 0
Divide by 81:
t3 - t = 0
Take out the common factor t:
t (t2 - 1) = 0
Here we have a difference of two squares, therefore:
t (t + 1) ( t - 1) = 0
If the product is zero, that means that one of the factors must be zero, so you have to solve the three equations:
t = 0 OR t + 1 = 0 OR t - 1 = 0.
In summary, t can be 0, -1, or 1.
1 answer
T + 5 + 3T = 1
Simplify the terms, T and 3T (think 1 apple plus 3 apples)
4T + 5 = 1
Subtract 5 from both sides.
4T = -4
then divide both sides by 4 to get T by itself.
T = -4/4
T = -1
To check, substitute T = -1 wherever you see T in your original equation.
T + 5 + 3T = 1
(-1) + 5 + 3(-1) = 1
4 - 3 = 1
1 = 1 (check)
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10*4n - 1 = 40n - 1
So
t(1) =39
t(2) = 79
t(3) =119
t(4) = 159
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Sunday Dinner - 1991 Welcome T-T 1-1 was released on:
USA: 2 June 1991
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There are 8 permutations of three coins ...
T T T
T T H
T H T
T H H
H T T
H T H
H H T
H H H
... counting heads and sorting by count, you get ...
0 - T T T
1 - T T H
1 - T H T
1 - H T T
2 - T H H
2 - H T H
2 - H H T
3 - H H H
... so, the probability of each possible number of heads is 0: 1 in 8, 1: 3 in 8, 2: 3 in 8, and 3: 1 in 8.
1 answer
If f(t) = t5 + t4 + t3 + t2 + t + 1
then remainder when divided by t+1 is
f(-1)
The remainder is, therefore, (-1)5 + (-1)4 + (-1)3 + (-1)2 + (-1) + 1
= -1 + 1 - 1 + 1 - 1 + 1 = 0
1 answer
T+(3-2t)=4t+1. Assuming the two T's , T and t are the same variable, lets proceed.
t+(3-2t)=4t+1
3-t=4t+1
2-t=4t
2=5t
last step is yours
1 answer
sin(t) = 2/3
sin2(t) + cos2(t) = 1
so cos(t) = ± sqrt[1 - sin2(t)]
but because t is in the first quadrant, cos(t) > 0 so cos(t) = + sqrt[1 - sin2(t)]
= sqrt[1 - 4/9] = sqrt[5/9] = sqrt(5)/3
Then sec(t) = 1/cos(t) = 1/sqrt(5)/3 = 3/sqrt(5) = 3*sqrt(5)/5
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When you add 1 to the input of the function t(n), it will also add 1 to the output of the function t(n).
1 answer
The T-O- Show - 2009 Introducing T-O- 1-1 was released on:
USA: 21 July 2009
1 answer
T and T - 1988 Extortion in Chinatown 1-1 was released on:
USA: 11 January 1988
Netherlands: 27 September 1988
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Use the product and chain rules:
d/dt te^(-t²) = (d/dt t)e^(-t²) + t(d/dt e^(-t²))
= 1 × e^(-t²) + t × e^(-t²) × d/dt -t²
= e^(-t²) (1 + t × -2t)
= (1 - 2t²)e^(-t²)
2 answers
It is a version of the Fibonacci sequence, where each term is the sum of the previous two terms.
The sequence is defined by the recursive formula:
t(n) = t(n-1) + t(n-2) where t(n) is the nth term
Here, t(1) = 2 and t(2) = 3 though for the more general form of the Fibonacci sequence, t(1) = 1 and t(2) = 1.
1 answer
If t is real then [1 to infinity) ie all real numbers from 1 to infinity, including 1 but not infinity. If t is in the complex plane then the domain of t^2+1 is also the complex plane.
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1 T means one tablespoon in a recipe. A lowercase t means teaspoon.
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A kilogram is greater than a gram. There are 1000 grams in a kilogram.
5 answers
here are the clues:
the difference in time between the aircraft and the ground is 1 S.
ie, T-t=1S
T/t-1=1/t
Substitute the time dilation expression for T/t in terms of velocity and solve it for 1/t. find t.
1 answer
Vrms=sqrt[1/T * integral(v^2(t)dt, 0,t]
Irms=sqrt[1/T * integral(i^2(t)dt, 0,t]
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to analyze a time series model represented by an ARIMA (1,2,0) process, with the given equation:
[ X_t = (1 + \phi_1)X_{t-1} - (1 + \phi_1)X_{t-2} + \phi_1X_{t-3} + \epsilon_t ]
Substituting the provided value for ( \phi_1 = -0.3922 ), we get:
[ X_t = (1 - 0.3922)X_{t-1} - (1 - 0.3922)X_{t-2} - 0.3922X_{t-3} + \epsilon_t ]
[ X_t = 0.6078X_{t-1} - 0.6078X_{t-2} - 0.3922X_{t-3} + \epsilon_t ]
It appears there might be a slight discrepancy in the calculation of ( \phi_1 ), where you've written ( \phi_1 = -0.3931 ) instead of ( \phi_1 = -0.3922 ). If it's indeed supposed to be ( \phi_1 = -0.3922 ), the correct representation of the equation would be the one derived above. Otherwise, if ( \phi_1 = -0.3931 ) is intended, you would adjust the coefficients accordingly.
1 answer
This following loop creates a unit ramp input :
for t= 0:0.1:5
if(t<=1)
y(count) = t;
end
if(t>1)
y(count) = 1;
end
Rz(count) = tf(y(count)*T,[1 -2 1],T);
Rs(count) = d2c(Rz(count));
end
% T = 0.005; this is for a discrete system
1 answer
Each term, except the first two, in the Fibonacci sequence is defined in terms of terms that went earlier in the sequence. That is the meaning of "recursive".
t(1) = 1
t(2) = 1
t(n+2) = t(n) + t(n+1) for n = 1, 2, 3, ...
1 answer
(a - t)/(b - t) = c
=> a - t = c(b - t) = cb - ct = bc - tc
=> tc - t = bc - a
=> t(c - 1) = bc - a
=> t = (bc - a)/(c - 1)
1 answer
cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)]
But [1 - sin2(t)] = cos2(t)
So, the expression = cos(t)*cos2(t) = cos3(t)
1 answer
r=0,
Tr-r = 0 = r(T-1), since T != 1, then T-1 is non zero so r must be zero.
1 answer
g(t) = 2/t
The function is the same as writing g(t) = 2 t-1,
and that's not too difficult to differentiate:
g'(t) = -2 t-2
g'(1/2) = -2 (1/2)-2 = -2 (4) = -8
1 answer
If that's + 36, the answer is (t + 6)(t + 1)(t - 6)(t - 1). If that's - 36, it gets ugly in a hurry.
1 answer
T and T - 1988 Working It Out 1-23 was released on:
USA: 23 June 1988
1 answer
Believe it or not that is a trick question. The T in "1 T" could mean 1 ton, but no 1 ton cannot be equivalent to 1,000 pounds.
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Suppose t(n) is the nth term.
Then t(n) = -1 + 2n (for n = 1, 2, 3, ... 100)
Now
t(1) + t(100) = (-1 + 2*1) + (-1 +2*100) = 1 + 199 = 200
t(2) + t(99) = (-1 + 2*2) + (-1 +2*99) = 3 + 197 = 200
there are 50 such pairs.
So the grand total is 50*200 = 10000
1 answer
Diff'rent Strokes - 1978 Mr- T and mr- t 6-1 was released on:
USA: 1 October 1983
1 answer